On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds (Q523857)

The authors consider periodic solutions of parametrized differential systems on \(\mathbb{R}^{k}\times M,\) where \(M\) is a smooth differential manifold. The main result is a global continuation principle for \(T\)-periodic solutions which is proved by using degree-theoretic methods. The result is applied to a parametrized differential equation with continuously distributed delay and to a mechanical system.